Pith Number

pith:SYM7Z76R

pith:2010:SYM7Z76RBB6UB76EXVIVM3GMXV

not attested not anchored not stored refs pending

Spectral Properties of the Discrete Random Displacement Model

G\"unter Stolz, Roger Nichols

arxiv:1008.1266 v1 · 2010-08-06 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYM7Z76RBB6UB76EXVIVM3GMXV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:09:23.689820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9619fcffd1087d40ffc4bd51566cccbd7a7ff03d45ef75f9f7e4f2662a4ffe48

Aliases

arxiv: 1008.1266 · arxiv_version: 1008.1266v1 · doi: 10.48550/arxiv.1008.1266 · pith_short_12: SYM7Z76RBB6U · pith_short_16: SYM7Z76RBB6UB76E · pith_short_8: SYM7Z76R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SYM7Z76RBB6UB76EXVIVM3GMXV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9619fcffd1087d40ffc4bd51566cccbd7a7ff03d45ef75f9f7e4f2662a4ffe48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea7d6bcffa5dc07726ec07dc3bd14fd2694653919c187a6365dd031dd90d061",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-06T20:00:17Z",
    "title_canon_sha256": "5572e8714003c6d4ca385a4782acf0ce17fd992f7dcf240cdbed93f844d55734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1266",
    "kind": "arxiv",
    "version": 1
  }
}